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59 lines
2.6 KiB
59 lines
2.6 KiB
function [P,Q,Jac]=getJacobianPolar(V0,Y)
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% Calculating Jacobian matrix in polar coordinate
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% FUNCTION getJacobianPolar
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% Author: Rui Yao <ruiyao@ieee.org>
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%
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% Copyright (C) 2021, UChicago Argonne, LLC. All rights reserved.
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%
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% OPEN SOURCE LICENSE
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%
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% Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:
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%
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% 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.
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% 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.
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% 3. Neither the name of the copyright holder nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission.
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%
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%
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% ******************************************************************************************************
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% DISCLAIMER
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%
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% THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED
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% WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
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% PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY
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% DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
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% PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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% CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR
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% OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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% ***************************************************************************************************
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% INPUT
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% V0 - voltage
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% Y - admittance matrix
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%
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% OUTPUT
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% P - Net active power injection
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% Q - Net reactive power injection
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% Jac - Jacobian matrix
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%
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nbus=size(V0,1);
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Vm=abs(V0);
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Va=angle(V0);
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Vadiff=repmat(Va,1,nbus)-repmat(Va',nbus,1);
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G=real(Y);B=imag(Y);
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Gd=diag(G);Bd=diag(B);
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cVa=cos(Vadiff);sVa=sin(Vadiff);
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P=Vm.*((G.*cVa+B.*sVa)*Vm);
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Q=-Vm.*((B.*cVa-G.*sVa)*Vm);
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Vmult=repmat(Vm,1,nbus).*repmat(Vm',nbus,1);
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H=-Vmult.*(G.*sVa-B.*cVa);
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H(1:nbus+1:end)=Q+Vm.*Vm.*Bd;
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N=-repmat(Vm,1,nbus).*(G.*cVa+B.*sVa);
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N(1:nbus+1:end)=-P./Vm-Vm.*Gd;
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J=Vmult.*(G.*cVa+B.*sVa);
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J(1:nbus+1:end)=-P+Vm.*Vm.*Gd;
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L=repmat(Vm,1,nbus).*(G.*sVa-B.*cVa);
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L(1:nbus+1:end)=-Q./Vm+Vm.*Bd;
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Jac=[H,N;J,L];
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end |